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Finding the Fourth Proportional to 923.65, 1,384.39 and 913.38

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Solution

The fourth proportional to 923.65, 1,384.39 and 913.38 is: 1,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.65 : 1,384.39 = 913.38 : x
  2. Step 2: Convert to fraction form
    923.65/1,384.39 = 913.38/x
  3. Step 3: Cross multiply
    923.65x = 1,384.39 × 913.38
  4. Step 4: Simplify right side
    923.65x = 1,264,470.09
  5. Step 5: Solve for x
    x = 1,264,470.09/923.65
  6. Step 6: Final answer
    x = 1,368.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.